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Finding the Fourth Proportional to 382,045.50, 573,104.70 and 157,421.16

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Solution

The fourth proportional to 382,045.50, 573,104.70 and 157,421.16 is: 236,146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,045.50 : 573,104.70 = 157,421.16 : x
  2. Step 2: Convert to fraction form
    382,045.50/573,104.70 = 157,421.16/x
  3. Step 3: Cross multiply
    382,045.50x = 573,104.70 × 157,421.16
  4. Step 4: Simplify right side
    382,045.50x = 90,218,806,675.45
  5. Step 5: Solve for x
    x = 90,218,806,675.45/382,045.50
  6. Step 6: Final answer
    x = 236,146.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.